Prasad's comparison conjecture for second cohomology of p-adic analytic groups

Let $P$ be a pro-$p$ group, and write

$$H_{\operatorname{cont}}^{2}(P)=H_{\operatorname{cont}}^{2}(P,\mathbb{F}_p),\qquad H_{\operatorname{disc}}^{2}(P)=H_{\operatorname{disc}}^{2}(P,\mathbb{F}_p).$$

Let $\varphi^2:H_{\operatorname{cont}}^{2}(P)\to H_{\operatorname{disc}}^{2}(P)$ be the comparison map. Prasad's conjecture. For every $p$-adic analytic group $P$, the comparison map $\varphi^2$ is an isomorphism.

This conjecture concerns when continuous and discrete cohomology agree for pro-$p$ groups. The comparison is known in particular for soluble $p$-adic analytic and Chevalley $p$-adic analytic groups, while the assertion for every $p$-adic analytic group remains open based on the supplied context.